In the area of abstract algebra known as group theory, the diameter of a finite group is a measure of its complexity. Consider a finite group ( G , ∘ ) {\displaystyle \left(G,\circ \right)} , and any set of generators S. Define D S {\displaystyle D_{S}} to be the graph diameter of the Cayley graph Λ = ( G , S ) {\displaystyle \Lambda =\left(G,S\right)} .
In the area of abstract algebra known as group theory, the diameter of a finite group is a measure of its complexity. Consider a finite group ( G , ∘ ) {\displaystyle \left(G,\circ \right)} , and any set of generators S. Define D S {\displaystyle D_{S}} to be the graph diameter of the Cayley graph Λ = ( G , S ) {\displaystyle \Lambda =\left(G,S\right)} .
Source: Wikipedia "Diameter (group theory)" · CC BY-SA 4.0
Share this article: X · Bluesky